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SONC optimization and exact nonnegativity certificates via second-order cone programming 期刊论文
JOURNAL OF SYMBOLIC COMPUTATION, 2023, 卷号: 115, 页码: 346-370
Authors:  Magron, Victor;  Wang, Jie
Favorite  |  View/Download：61/0  |  Submit date：2023/02/07
Sum of nonnegative circuit polynomials  Second -order cone programming  Polynomial optimization  Sum of binomial squares  Rounding -projection algorithm  Exact nonnegativity certificate  
Lifting for the integer knapsack cover polyhedron 期刊论文
JOURNAL OF GLOBAL OPTIMIZATION, 2022, 页码: 45
Authors:  Chen, Wei-Kun;  Chen, Liang;  Dai, Yu-Hong
Favorite  |  View/Download：48/0  |  Submit date：2023/02/07
Integer programming  Cutting plane  Sequential lifting  MIR inequality  Separation algorithm  
Certifying global optimality of AC-OPF solutions via sparse polynomial optimization 期刊论文
ELECTRIC POWER SYSTEMS RESEARCH, 2022, 卷号: 213, 页码: 9
Authors:  Wang, Jie;  Magron, Victor;  Lasserre, Jean B.
Favorite  |  View/Download：29/0  |  Submit date：2023/02/07
Sparse moment-SOS hierarchy  CS-TSSOS hierarchy  Global optimality  Lasserre?s hierarchy  Large-scale polynomial optimization  Optimal power flow  
Optimality conditions for homogeneous polynomial optimization on the unit sphere 期刊论文
OPTIMIZATION LETTERS, 2022, 页码: 8
Authors:  Huang, Lei
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Homogeneous polynomials  Optimization on the unit sphere  Optimality conditions  
Homogenization for polynomial optimization with unbounded sets 期刊论文
MATHEMATICAL PROGRAMMING, 2022, 页码: 41
Authors:  Huang, Lei;  Nie, Jiawang;  Yuan, Ya-Xiang
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Polynomial optimization  Homogenization  Moment-SOS relaxations  Optimality conditions  
Approximation algorithms for solving the line-capacitated minimum Steiner tree problem 期刊论文
JOURNAL OF GLOBAL OPTIMIZATION, 2022, 页码: 28
Authors:  Li, Jianping;  Wang, Wencheng;  Lichen, Junran;  Liu, Suding;  Pan, Pengxiang
Favorite  |  View/Download：47/0  |  Submit date：2023/02/07
Combinatorial optimization  Locations of lines  Line-capacitated Steiner trees  Approximation algorithms  Exact algorithms  
Nonnegative Polynomials and Circuit Polynomials 期刊论文
SIAM JOURNAL ON APPLIED ALGEBRA AND GEOMETRY, 2022, 卷号: 6, 期号: 2, 页码: 111-133
Authors:  Wang, Jie
Favorite  |  View/Download：51/0  |  Submit date：2022/06/21
nonnegative polynomial  sum of nonnegative circuit polynomials  SONC  certificate of nonnegativity  sum of squares  SAGE  
Exploiting Sparsity in Complex Polynomial Optimization 期刊论文
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2021, 页码: 25
Authors:  Wang, Jie;  Magron, Victor
Favorite  |  View/Download：78/0  |  Submit date：2022/04/02
Complex moment-HSOS hierarchy  Correlative sparsity  Term sparsity  Complex polynomial optimization  Optimal power flow  
On some extended mixed integer optimization models of the Eisenberg-Noe model in systemic risk management 期刊论文
INTERNATIONAL TRANSACTIONS IN OPERATIONAL RESEARCH, 2021, 页码: 24
Authors:  Dong, Zhi-Long;  Peng, Jiming;  Xu, Fengmin;  Dai, Yu-Hong
Favorite  |  View/Download：111/0  |  Submit date：2021/04/26
financial network  systemic risk  mixed integer programming  coefficient strengthening  sequential linear optimization  
Exponential Stabilization of the Wave Equation on Hyperbolic Spaces with Nonlinear Locally Distributed Damping 期刊论文
APPLIED MATHEMATICS AND OPTIMIZATION, 2021, 页码: 13
Authors:  Wang, Jiacheng;  Ning, Zhen-Hu;  Yang, Fengyan
Favorite  |  View/Download：109/0  |  Submit date：2021/04/26
Wave equation  Stabilization  Hyperbolic spaces  Nonlinear locally distributed damping